Analytic Inequalities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1970
|
| Schriftenreihe: | Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete
165 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The Theory of Inequalities began its development from the time when C. F. GACSS, A. L. CATCHY and P. L. CEBYSEY, to mention only the most important, laid the theoretical foundation for approximative methods. Around the end of the 19th and the beginning of the 20th century, numerous inequalities were proyed, some of which became classic, while most remained as isolated and unconnected results. It is almost generally acknowledged that the classic work "Inequalities" by G. H. HARDY, J. E. LITTLEWOOD and G. POLYA, which appeared in 1934, transformed the field of inequalities from a collection of isolated formulas into a systematic discipline. The modern Theory of Inequalities, as well as the continuing and growing interest in this field, undoubtedly stem from this work. The second English edition of this book, published in 1952, was unchanged except for three appendices, totalling 10 pages, added at the end of the book. Today inequalities play a significant role in all fields of mathematics, and they present a very active and attractive field of research. J. DIEUDONNE, in his book "Calculinfinitesimal" (Paris 1968), attributed special significance to inequalities, adopting the method of exposition characterized by "majorer, minorer, approcher". Since 1934 a multitude of papers devoted to inequalities have been published: in some of them new inequalities were discovered, in others classical inequalities were sharpened or extended, various inequalities were linked by finding their common source, while some other papers gave a large number of miscellaneous applications |
| Beschreibung: | 1 Online-Ressource (XII, 404 p) |
| ISBN: | 9783642999703 9783642999727 |
| DOI: | 10.1007/978-3-642-99970-3 |
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Datensatz im Suchindex
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| author | Mitrinović, Dragoslav S. 1908-1995 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-99970-3 |
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| series | Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete |
| series2 | Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete |
| spelling | Mitrinović, Dragoslav S. 1908-1995 Verfasser (DE-588)128427183 aut Analytic Inequalities by Dragoslav S. Mitrinović Berlin, Heidelberg Springer Berlin Heidelberg 1970 1 Online-Ressource (XII, 404 p) txt rdacontent c rdamedia cr rdacarrier Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete 165 The Theory of Inequalities began its development from the time when C. F. GACSS, A. L. CATCHY and P. L. CEBYSEY, to mention only the most important, laid the theoretical foundation for approximative methods. Around the end of the 19th and the beginning of the 20th century, numerous inequalities were proyed, some of which became classic, while most remained as isolated and unconnected results. It is almost generally acknowledged that the classic work "Inequalities" by G. H. HARDY, J. E. LITTLEWOOD and G. POLYA, which appeared in 1934, transformed the field of inequalities from a collection of isolated formulas into a systematic discipline. The modern Theory of Inequalities, as well as the continuing and growing interest in this field, undoubtedly stem from this work. The second English edition of this book, published in 1952, was unchanged except for three appendices, totalling 10 pages, added at the end of the book. Today inequalities play a significant role in all fields of mathematics, and they present a very active and attractive field of research. J. DIEUDONNE, in his book "Calculinfinitesimal" (Paris 1968), attributed special significance to inequalities, adopting the method of exposition characterized by "majorer, minorer, approcher". Since 1934 a multitude of papers devoted to inequalities have been published: in some of them new inequalities were discovered, in others classical inequalities were sharpened or extended, various inequalities were linked by finding their common source, while some other papers gave a large number of miscellaneous applications Mathematics Mathematics, general Mathematik Integralgleichung (DE-588)4027229-1 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf Ungleichung (DE-588)4139098-2 s 1\p DE-604 Integralgleichung (DE-588)4027229-1 s 2\p DE-604 Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete 165 (DE-604)BV049758308 165 https://doi.org/10.1007/978-3-642-99970-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mitrinović, Dragoslav S. 1908-1995 Analytic Inequalities Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete Mathematics Mathematics, general Mathematik Integralgleichung (DE-588)4027229-1 gnd Ungleichung (DE-588)4139098-2 gnd |
| subject_GND | (DE-588)4027229-1 (DE-588)4139098-2 |
| title | Analytic Inequalities |
| title_auth | Analytic Inequalities |
| title_exact_search | Analytic Inequalities |
| title_full | Analytic Inequalities by Dragoslav S. Mitrinović |
| title_fullStr | Analytic Inequalities by Dragoslav S. Mitrinović |
| title_full_unstemmed | Analytic Inequalities by Dragoslav S. Mitrinović |
| title_short | Analytic Inequalities |
| title_sort | analytic inequalities |
| topic | Mathematics Mathematics, general Mathematik Integralgleichung (DE-588)4027229-1 gnd Ungleichung (DE-588)4139098-2 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Integralgleichung Ungleichung |
| url | https://doi.org/10.1007/978-3-642-99970-3 |
| volume_link | (DE-604)BV049758308 |
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